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PreprintCC BY 4.0arXiv

Thermodynamic signatures of the period-doubling route to chemical chaos

  • Kyota Tamano
  • Keiji Saito
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Abstract

Chemical reaction networks can evolve from stable oscillations to chaos through successive period doublings. We investigate general properties of entropy-production fluctuations near the onset of chaos and within the chaotic regime in reversible, well-mixed reaction networks. Near an isolated supercritical period-doubling bifurcation, we find a one-sided divergence of the diffusion constant with exponent one. For chaotic attractors satisfying the stated conditions, the entropy variance per unit volume grows exponentially when the macroscopic limit is taken first. Its exponential growth rate is 2λmax, where λmax is the largest Lyapunov exponent, implying a divergent diffusion constant. We also discuss the volume dependence of the fluctuations and the underlying physical mechanisms.

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Cite

BibTeXRIS
BibTeX
@misc{tamano2026thermodynamic,
  title = {{Thermodynamic signatures of the period-doubling route to chemical chaos}},
  author = {Kyota Tamano and Keiji Saito},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.06037},
  eprint = {2611.06037},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.06037},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Thermodynamic signatures of the period-doubling route to chemical chaos
AU  - Kyota Tamano
AU  - Keiji Saito
PY  - 2026
DA  - 2026/11/04
PB  - arXiv
DO  - 10.48550/arxiv.2611.06037
UR  - https://arxiv.org/abs/2611.06037
AB  - Chemical reaction networks can evolve from stable oscillations to chaos through successive period doublings. We investigate general properties of entropy-production fluctuations near the onset of chaos and within the chaotic regime in reversible, well-mixed reaction networks. Near an isolated supercritical period-doubling bifurcation, we find a one-sided divergence of the diffusion constant with exponent one. For chaotic attractors satisfying the stated conditions, the entropy variance per unit volume grows exponentially when the macroscopic limit is taken first. Its exponential growth rate is 2λ_max, where λ_max is the largest Lyapunov exponent, implying a divergent diffusion constant. We also discuss the volume dependence of the fluctuations and the underlying physical mechanisms.
ER  -